Dear GAP Forum, dear Igor,
I believe I found a case in gap4v3 where IdGroup() command fails -
the output is [70, fail];
thanks for spotting this bug, Igor.
It is a bug in the IdGroup() function for groups of order p*q*r for
different primes p, q and r. The bug was introduced in the last GAP
release by a changed behaviour of the discrete log function in GAP.
We will fix the bug with the next round of GAP bugfixes. If anyone
wants to have a fix right now, then please contact me and I will
send you a modified version of IdGroup by e-mail.
Best wishes, Bettina